Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Consider the following hypothesis test.

H₀: ?_d ≤ 0

H_a: ?_d > 0

(a)

The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.)

Element	Population	Difference
1	2
1	21	19
2	28	27
3	18	15
4	20	17
5	26	25

(b)

Compute

(c)

Compute the standard deviation

s_d.

(d)

Conduct a hypothesis test using

? = 0.05.

Calculate the test statistic. (Round your answer to three decimal places.)

Calculate the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Reject H₀. There is sufficient evidence to conclude that

?_d > 0.

Do not reject H₀. There is insufficient evidence to conclude that

?_d > 0.

Reject H₀. There is insufficient evidence to conclude that

?_d > 0.

Do not Reject H₀. There is sufficient evidence to conclude that

?_d > 0.

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